Question 1/20: Set 4 - Try Out - Mathematical Reasoning (SNBT)

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Toko Maju receives shipments of cooking oil from three suppliers for resale with the following schedule:

Oil	Delivery Schedule	Volume per shipment (liters)
$A$	Every $3$ days	$10$
$B$	Every $4$ days	$15$
$C$	Every $x$ days	$20$

On April $1$ , $2023$ , the shop received shipments of oil brands $A$ , $B$ , and $C$ simultaneously for the first time.

Starting from May $1$ , $2023$ , the volume of oil brand $A$ is increased to $15$ liters per shipment.

What is the difference in the volume of oil brand $A$ received by Toko Maju in May compared to April?

Explanation

We will compare the total volume of oil $A$ received in April (30 days) and May (31 days). Note that the delivery schedule for oil $A$ is every $3$ days.

Here is the detailed comparison:

Month	Total Days	Volume per Shipment	Delivery Dates	Total Shipments	Total Volume
April	$30$	$10$ liters	$1, 4, 7, 10, 13, 16, 19, 22, 25, 28$	$10$ times	$10 \times 10 = 100$ liters
May	$31$	$15$ liters	$1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31$	$11$ times	$11 \times 15 = 165$ liters

Notice that in May, there are $11$ shipments because May $31$ is also a scheduled delivery date (3 days after the 28th).

Thus, the difference in volume for oil $A$ is:

\Delta V = V_{\text{May}} - V_{\text{April}}

\Delta V = 165 - 100 = 65 \text{ liters}

So, the difference in the volume of oil brand $A$ received is $65$ liters.

Command Palette

Number 1

Explanation